The range of this function is y is equal to all real numbers such that y
0.
The definition of an absolute value is that it is always positive. Therefore, we know there can never be a negative value of y. This means that the lowest a function can go is to 0. Since there is no restrictions on how high it can go, y is able to go from 0 to infinity.
Linear Equations produce straight lines when graphed.
Linear Function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.
Use the Pythagorean theorem since you are working with a right triangle:
a^2+b^2=c^2a2+b2=c2
The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:
0.8^2+0.6^2=c^20.82+0.62=c2
Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):
0.64+0.36=c^20.64+0.36=c2
Add:
1=c^21=c2
Isolate c. Find the square root of both sides:
\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c
Simplify \sqrt{1}1 . Any root of 1 is 1:
c=c= ±11 *
c=1,-1c=1,−1
Answer:
Let the side of the cube be x.
Volume = length × width × height
For a cube:
Length = width = height
Now volume = x × x × x = x³
This equals 2197
Therefore :
X³ = 2197
X = ∛2197
= 13
The side of the cube = 13cm
Area = length × width
Length = width = 13cm
Area = 13 × 13 = 169
= 169 cm²
I hope this helps!